Solve 11x − 15 = −92

The solution of 11x − 15 = −92 is x = -7.

11x - 15 = -92\ \Rightarrow\ x = -7

Explain it step by step in chat Make a short video of it

The lines y = 11x − 15 and y = -92 meet at x = -7. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$11x - 15 = -92$
2
Add 15 to both sides:
$11x - 15 + 15 = -92 + 15 \ \Rightarrow\ 11x = -77$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$11\cdot(-7) - 15 = -77 - 15 = -92 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 15 = -92\ \Rightarrow\ x = -7 \]
\[ 11x - 15 = -92 \]
\[ 11x - 15 + 15 = -92 + 15 \ \Rightarrow\ 11x = -77 \]
\[ \frac{11x}{11} = \frac{-77}{11} \ \Rightarrow\ x = -7 \]
\[ 11\cdot(-7) - 15 = -77 - 15 = -92 \checkmark \]

Trying values of x in 11x − 15 = −92

x	11x − 15	Equals -92?
-9	-114	no
-8	-103	no
-7	-92	yes
-6	-81	no
-5	-70	no

Questions

What is x in 11x − 15 = −92?

The solution of 11x − 15 = −92 is x = -7.

How do you solve 11x − 15 = −92?

Add 15 to both sides to get 11x = -77, then divide both sides by 11 to get x = -7.

How do I check the answer?

Replace x by -7: 11(-7) − 15 = -92, which is -92.

Solve 11x − 15 = −92

How to work it out

Trying values of x in 11x − 15 = −92

Questions

Similar equations